Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 501, 250, 424, 322 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 250, 424, 322 is 1
GCD(501, 250, 424, 322) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 250, 424, 322 is 1
GCD(501, 250, 424, 322) = 1
Given Input numbers are 501, 250, 424, 322
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Greatest Common Divisior
We found the divisors of 501, 250, 424, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 250, 424, 322 is 1.
Therefore, GCD of numbers 501, 250, 424, 322 is 1
Given Input Data is 501, 250, 424, 322
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 322 is 2 x 7 x 23
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(501, 250) = 125250
GCD(501, 250) = ( 501 x 250 ) / 125250
GCD(501, 250) = 125250 / 125250
GCD(501, 250) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 424
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 424) = 424
GCD(1, 424) = ( 1 x 424 ) / 424
GCD(1, 424) = 424 / 424
GCD(1, 424) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 322
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 322) = 322
GCD(1, 322) = ( 1 x 322 ) / 322
GCD(1, 322) = 322 / 322
GCD(1, 322) = 1
GCD of 501, 250, 424, 322 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 250, 424, 322?
GCD of 501, 250, 424, 322 is 1
2. Where do I get the detailed procedure to find GCD of 501, 250, 424, 322?
You can find a detailed procedure to find GCD of 501, 250, 424, 322 on our page.
3. How to find GCD of 501, 250, 424, 322 on a calculator?
You can find the GCD of 501, 250, 424, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.